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What will happen if we jump with the help of a parachute on the surface of the moon?

As we all know, the parachute prevents accidents while jumping from height by balancing the velocity of the jumping or falling body. It can balance the velocity of any falling body due to the upthrust produced by the atmosphere. But there is no atmosphere on the moon. So, the velocity of our body would be the same as jumping without a parachute. So, we would get an equal injury.